Pith Number

pith:Q2S33V4R

pith:2013:Q2S33V4RIYDT3JMWEL7WX6HDOF

not attested not anchored not stored refs pending

Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment

Alexander V. Smirnov, Matthias Steinhauser, Peter Marquard, Roman Lee, Vladimir A. Smirnov

arxiv:1301.6481 v1 · 2013-01-28 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2S33V4RIYDT3JMWEL7WX6HDOF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:51:58.011174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a5bdd79146073da59622ff6bf8e371664567b711661b19ef6b383fcda21903

Aliases

arxiv: 1301.6481 · arxiv_version: 1301.6481v1 · doi: 10.48550/arxiv.1301.6481 · pith_short_12: Q2S33V4RIYDT · pith_short_16: Q2S33V4RIYDT3JMW · pith_short_8: Q2S33V4R

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q2S33V4RIYDT3JMWEL7WX6HDOF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 86a5bdd79146073da59622ff6bf8e371664567b711661b19ef6b383fcda21903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a943581d266ac91a3e413f39e1d80fea8206afc1ed9676c8aed1fb1be3167b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-01-28T09:15:43Z",
    "title_canon_sha256": "52aa9003a7eb7abd27ccb3ba10c272828859c128b992965783c54e0b9493f4c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6481",
    "kind": "arxiv",
    "version": 1
  }
}